Results 251 to 260 of about 140,110 (288)

One multidimensional weakly singular integral equation

Russian Mathematics, 2007
The authors establish sufficient conditions for the positive definiteness of the operator \[ A\varphi\equiv a(x)\varphi(x)+ \int_D \frac {h(x,y)\varphi(y)} {\rho^\alpha(x,y)}\,dy=f(x) \] where \(x\in D\), \(\alpha=\text{const}\), \(0\leq ...
Agachev, Yu. R., Gubaidullina, R. K.
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Weakly Singular Steklov Condition in the Multidimensional Case

Doklady Mathematics, 2022
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Identification of Weakly Singular Memory Kernels in Viscoelasticity

ZAMM, 1998
The authors deal with the problem of identifying an unknown memory kernel \(m:[0,T]\to {\mathbb{R}}\) in the integrodifferential equation \[ \rho D_t^2u(x,t) - \lambda \text{ div} (\beta \nabla u(x,t)) - (m*\text{ div} (\beta \nabla))(x,t) = \gamma(x,t)\qquad (x,t)\in Q=D\times (0,T) \tag{1} \] where \(\lambda \in \{0,1\}\), \(f*g(t)=\int_0^t f(t-s)g(s)
Janno, J., von Wolfersdorf, L.
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Sub-weakly Embedded Singular and Degenerate Polar Spaces

Geometriae Dedicata, 1997
The authors complete the classification of all sub-weak embeddings of orthogonal, symplectic and unitary polar spaces \(\Gamma\) of non-singular rank \(\geq 3\) defined over a commutative field \({\mathbf F}\), where \({\mathbf F}\) is assumed to be perfect if \(\text{char } {\mathbf F} =2\), the polar space is symplectic and the degree of the ...
Thas, J. A., Van Maldeghem, H.
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Numerical Integration of Weakly Singular Functions

1979
A number of methods have been developed for the numerical integration of functions with integrable singularities. Recent references include Osgood and Shisha [7, 8]. For a summary and further references, see Davis and Rabinowitz [4]. Our approach incorporates elements of several of the techniques described there.
P. M. Anselone, G. Opfer
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Evaluation of Weakly Singular Integrals

1980
In a paper by Anselone-Opfer [1] a method for integrating weakly singular functions is investigated, where the emphasis is on convergence results. This method consists of replacing the unbounded function by a bounded function and then applying an ordinary quadrature formula.
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Successive weakly compact or singular cardinals

Journal of Symbolic Logic, 1999
AbstractIt is shown in ZF that if δ < δ+ < Ω are such that δ and δ+ are either both weakly compact or singular cardinals and Ω is large enough for putting the core model apparatus into action then there is an inner model with a Woodin cardinal.
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Information complexity of weakly singular integral equations

Ukrainian Mathematical Journal, 1994
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Pereverzev, S. V., Makhkamov, K. Sh.
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Applications to Weakly Singular Integrals

1992
In this chapter, results of numerical experiments on weakly singular integrals arising in three dimensional potential problems are presented.
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Quadrature methods for periodic singular and weakly singular Fredholm integral equations

Journal of Scientific Computing, 1988
High-accuracy numerical quadrature methods for integrals of singular periodic functions are proposed. These methods are based on the appropriate Euler-Maclaurin expansions of trapezoidal rule approximations and their extrapolations (Romberg-type integration formulas).
Sidi, Avram, Israeli, Moshe
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